The geometry of
AdS\(^{3|2}\) 
is encoded in its covariant derivatives, \({\cal D}_A\) ,
with the graded commutation relations [1]}, [2]}
\(\lbrace  \mathcal {D}_\alpha , \mathcal {D}_\beta \rbrace  &= 2{\rm i}\mathcal {D}_{\alpha \beta } - 4{\rm i}\mathcal {S} M_{\alpha \beta }~, \\\ [ \mathcal {D}_{\alpha \beta }, \mathcal {D}_\gamma ] &= -2\mathcal {S} \varepsilon _{\gamma (\alpha }\mathcal {D}_{\beta )}~, \\\ [ \mathcal {D}_{\alpha \beta }, \mathcal {D}_{\gamma \delta } ] &= 4 \mathcal {S}^2 \Big (\varepsilon _{\gamma (\alpha }M_{\beta )\delta } + \varepsilon _{\delta (\alpha } M_{\beta )\gamma }\Big ) ~,\) 
